Statistical properties of the seasonal fractionally integrated separable spatial autoregressive model

Abstract : In this paper we introduce a new model called Fractionally Integrated Separable Spatial Autoregressive processes with Seasonality and denoted Seasonal FISSAR. We focus on the class of separable spatial models whose correlation structure can be expressed as a product of correlations. This new modelling allows taking into account the seasonality patterns observed in spatial data. We investigate the properties of this new model providing stationary conditions, some explicit form of the autocovariance function and the spectral density. We also establish the asymptotic behaviour of the spectral density function near the seasonal frequencies.
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https://hal.archives-ouvertes.fr/hal-01397357
Contributeur : Dominique Guégan <>
Soumis le : mardi 15 novembre 2016 - 17:01:32
Dernière modification le : jeudi 4 octobre 2018 - 18:28:03

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Papa Ousmane Cissé, Abdou Kâ Diongue, Dominique Guegan. Statistical properties of the seasonal fractionally integrated separable spatial autoregressive model. Afrika Statistika, Fondation Société Africaine de Probabilités et Statistiques (SAPS), 2016, 11 (1), pp.901-922. ⟨10.16929/as/2016.901.82⟩. ⟨hal-01397357⟩

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